Question

Find x for the given equation>>>>>>>
2^2x-2^x+3=-2^4

Answer 1

Answer:

x = 2

Step-by-step explanation:

Given

2^{2x}-2^{x+3}+2^{4}=0

\implies(2^{x})^{2}-2^{x}\times2^{3}+2^{4}=0

Let 2^{x} = a  

=> a²-8a+16=0

=> a²-2*a*4+4² = 0

=> (a-4)² = 0

=> (a-4) = 0

=> a = 4

=> a = 2²

a = 2^{x}=2^{2}

x= 2

 

Therefore,

x = 2

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